Exam-Style Question on Trigonometry
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 113. This question is similar to one that appeared on a IGCSE Extended paper in 2014. The use of a calculator is allowed.
The diagram (not to scale) shows a quadrilateral made up of a number of triangles.
The area of triangle ABD is 333 cm2 and AD = 21 cm and AB = 33cm.
(a) Calculate the size of acute angle DAB.
(b) The midpoint of AD is F. Use the cosine rule to calculate the length of BF.
(c) Calculate the length of CD.
(d) \(\sin x = \cos 38^o, 0^o \le x \le 180^o\), Find the two values of \(x\).
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